Question

HELPP! Use substitution to solve each system of equations with checks !!

Answer 1

x = 1

y = -8

Explanation:

x = y + 9

x + y = -7

(y + 9) + y = -7

2y + 9 = -7

2y = -16

y = -8

x = (-8) + 9

x = 9 - 8

x = 1

(1) = (-8) + 9

9 - 8 = 1

1 = 1

(1) + (-8) = -7

1 - 8 = -7

-7 = -7

Both answers work

Answer 2

The solution to the system of equations is x = 1 and y = -8.

Explanation:

Using substitution, we can solve the system of equations as follows:

x = y + 9 (equation 1)

x + y = -7 (equation 2)

Substitute equation 1 into equation 2 to eliminate x:

(y + 9) + y = -7

Simplify:

2y + 9 = -7

Subtract 9 from both sides:

2y = -16

Divide both sides by 2:

y = -8

Now substitute y = -8 back into equation 1 to find x:

x = (-8) + 9

x = 1

Therefore, the solution to the system of equations is x = 1 and y = -8.

To check this solution, we substitute x = 1 and y = -8 into both equations and verify that they are true:

x = y + 9

1 = (-8) + 9

1 = 1

x + y = -7

1 + (-8) = -7

-7 = -7

Since both equations are true when x = 1 and y = -8, this is the correct solution to the system of equations.

Hope this helps! I'm sorry if it doesn't. If you need more help, ask me! :]